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Finding the Fourth Proportional to 213,616.80, 320,425.20 and 194,263.20

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Solution

The fourth proportional to 213,616.80, 320,425.20 and 194,263.20 is: 291,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,616.80 : 320,425.20 = 194,263.20 : x
  2. Step 2: Convert to fraction form
    213,616.80/320,425.20 = 194,263.20/x
  3. Step 3: Cross multiply
    213,616.80x = 320,425.20 × 194,263.20
  4. Step 4: Simplify right side
    213,616.80x = 62,246,824,712.64
  5. Step 5: Solve for x
    x = 62,246,824,712.64/213,616.80
  6. Step 6: Final answer
    x = 291,394.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.